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Q.

To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. The data is recorded in the following table. The probability that a student chosen at random does not like statistics is $\frac{x}{40}$ . The value of x is

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a

11

b

17

c

12

d

13

answer is D.

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Detailed Solution

It is given,
Question Image

Question Image

Probability of any event, P (E) = \frac{n (E)}{n (S)}

Number of favourable outcomes = n(E)
Number of total outcomes = n(S)
Probability of event = P(E)
It is given that the total number of students surveyed is 200 so the total number of outcomes, n(S) = 200
The favourable outcome is students who does not like statistics.
In the table it is given that students who does not like statistics, n(E)= 65
Probability of event occurring will be,

\Rightarrow P (E) = \frac{n (E)}{n (S)}

\Rightarrow P (E) = \frac{65}{200}

\Rightarrow P (E) = \frac{13}{40}

On comparing, we can conclude that x is 13.
Therefore, the required integer is 13.
Hence option (4) is correct.

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